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Finding the Fourth Proportional to 9,202.68, 13,798.48 and 4,135.94

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Solution

The fourth proportional to 9,202.68, 13,798.48 and 4,135.94 is: 6,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.68 : 13,798.48 = 4,135.94 : x
  2. Step 2: Convert to fraction form
    9,202.68/13,798.48 = 4,135.94/x
  3. Step 3: Cross multiply
    9,202.68x = 13,798.48 × 4,135.94
  4. Step 4: Simplify right side
    9,202.68x = 57,069,685.37
  5. Step 5: Solve for x
    x = 57,069,685.37/9,202.68
  6. Step 6: Final answer
    x = 6,201.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.